71305920 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 16174080.

The previous prime is 71305907. The next prime is 71305937. The reversal of 71305920 is 2950317.

71305920 is a `hidden beast` number, since 71 + 3 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544255 + ... + 544385.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^71305920 is an apocalyptic number.

71305920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

71305920 is an abundant number, since it is smaller than the sum of its proper divisors (221594688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71305920 is a wasteful number, since it uses less digits than its factorization.

71305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 71305920 is about 8444.2832733157. The cubic root of 71305920 is about 414.6756453336.

The spelling of 71305920 in words is "seventy-one million, three hundred five thousand, nine hundred twenty".